Question

Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3

Answer 1

Answer:

X=-16/3 or 5.33

Step-by-step explanation:

The formula is y=mx+c

Substitute in values for gradient

6=-4×3+c

C=18

Y=3x+18

Substitute to find x

2=3x+18

-16=3x

X=-16/3

Answer 2

The slope is defined as

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{6-2}{-4-x}$

So, we have the follwing equation:

$\dfrac{6-2}{-4-x} = 3 \iff 4 = 3(-4-x) \\\iff 4=-12-3x \iff16=-3x \iff x = -\dfrac{16}{3}$